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97939523136 = 26371319312307
BaseRepresentation
bin101101100110110100…
…1101000011001000000
3100100210120111021100210
41123031221220121000
53101040004220021
6112554235514120
710035014132220
oct1331551503100
9310716437323
1097939523136
1138599342364
1216b938b8940
13930a97c370
144a51542080
1528333cce76
hex16cda68640

97939523136 has 672 divisors, whose sum is σ = 348026004480. Its totient is φ = 23604203520.

The previous prime is 97939523107. The next prime is 97939523141. The reversal of 97939523136 is 63132593979.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 319021095 + ... + 319021401.

It is an arithmetic number, because the mean of its divisors is an integer number (517895840).

Almost surely, 297939523136 is an apocalyptic number.

97939523136 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97939523136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174013002240).

97939523136 is an abundant number, since it is smaller than the sum of its proper divisors (250086481344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97939523136 is a wasteful number, since it uses less digits than its factorization.

97939523136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 382 counting only the distinct ones).

The product of its digits is 8266860, while the sum is 57.

The spelling of 97939523136 in words is "ninety-seven billion, nine hundred thirty-nine million, five hundred twenty-three thousand, one hundred thirty-six".